Sr Examen

Ecuación diferencial xy′=y(1+ln(y/x"))

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Para el problema de Cauchy:

y() =
y'() =
y''() =
y'''() =
y''''() =

Gráfico:

interior superior

Solución

Ha introducido [src]
  d                                  
x*--(y(x)) = (1 + log(zoo*y(x)))*y(x)
  dx                                 
$$x \frac{d}{d x} y{\left(x \right)} = \left(\log{\left(\tilde{\infty} y{\left(x \right)} \right)} + 1\right) y{\left(x \right)}$$
x*y' = (log(±oo*y) + 1)*y
Clasificación
separable
1st homogeneous coeff best
1st homogeneous coeff subs indep div dep
1st homogeneous coeff subs dep div indep
almost linear
separable reduced
lie group
separable Integral
1st homogeneous coeff subs indep div dep Integral
1st homogeneous coeff subs dep div indep Integral
almost linear Integral
separable reduced Integral